Tangents resources

Students are required to identify right angles in a series of diagrams, using their knowledge of angle properties relating to circles and tangents.

Students use trigonometry to find missing distances in three everyday problems.

Students use the angle between a tangent and a radius property and the base angles in an isosceles triangle property to find an unknown angle and to explain why line segments are of equal size.

Students use their knowledge of the angle between a tangent and radius property and the sum of the angles in a quadrilateral to work out unknown angles in a diagram and explain their workings.

Students use their knowledge of the trigonometric functions sine, cosine, and tangent to calculate the length of sides of sails in a diagram of a yacht.

Using Pythagoras' theorem and trigonometry ratios, students calculate distances between people standing in a paddock.

Students use trigonometry to calculate distances in practical problems.

Students are required to use trigonometry to calculate the length of one side of a right-angled triangle in three problems based on a ski lift, a toy sail boat and a penguin on an iceberg.

Using given trigonometry ratios, students calculate distances in practical problems.

Students calculate the size of marked angles using their knowledge of angle properties: the angle between a tangent and a radius, the sum of angles in a triangle and the sum of angles in a quadrilateral.

Students choose the correct trigonometric ratio which would be used to calculate a missing length in two practical problems.